What is the slope for (0,4), (1,2), (2,0) and (3,-2)

Welp..................................................

Alexus [3.1K]

Answer:

Step-by-step explanation:

a

5 0

2 years ago

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What is the length side of a triangle that has vertices at (-5, -1), (-5, 5), and (3, -1)?

spayn [35]

Answer: 6,8 and 10

Step-by-step explanation:

To find the length , all we need to find is the distance between each point ,

the formula for calculating distance between two points is given by :

D = $\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}$

Let the points be :

A ( -5,-1)

B(-5,5)

C(3,-1)

Calculating the length AB , we have

D1 = $\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}$

D1 = $\sqrt{(-5+5)^{2}+(5+1)^{2}}$

D1 = $\sqrt{36}$

D1= 6

Calculating the length AC , we have

D2 = $\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}$

D2 = $\sqrt{(3+5)^{2}+(-1+1)^{2}}$

D2 = $\sqrt{64}$

D2 = 8

Calculating the length BC , we have

D3 = $\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}$

D3 = $\sqrt{(3+5)^{2}+(-1-5)^{2}}$

D3 = $\sqrt{100}$

D3 = 10

Therefore ,the length of the sides of the triangle are 6,8 and 10

3 0

3 years ago

The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.

Alenkasestr [34]

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be $4\,in\,:\,5\,ft$ and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale ( $r$ ), measured in inches per feet, is equivalent to the following rational number:

$r = \frac{4\,in}{5\,ft}$

We can convert each length by dividing it by scale factor. That is:

Length

$l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }$

$l' = 20\,ft$

Width

$w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }$

$w' = 31.25\,ft$

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

8 0

3 years ago

A biker moves 2.5 times faster than a walker. They started moving simultaneously in the same direction from the same point. In t

saveliy_v [14]

Answer:

The speed of the biker is 15

Step-by-step explanation:

First, you call the speed of the walker x, and the speed of the biker 2.5x.

Then you know that speed times time equals distance, so you set up and equation. You do x times 2, which is 2x, and then 2.5x times 2, which is 5x. Then, since the distance between them is 18 miles, the equation would be 5x-2x=18. You would get 3x=18, and x is 6. So 6 is the speed of the walker, and 6 times 2.5 = 15, so the speed of the biker is 15.

5 0

3 years ago

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A tipping platform is a ramp used to unload trucks. How high is the end of an 100 foot ramp when it is tipped by a 30 degree ang

Naily [24]

According to the information given, the ramp would be 50 feet high. (However, that seems really high. Did you type your problem correctly?)

If you draw a picture, you will see that you can set up a cosine ratio to solve this problem. With a 30 degree angle of depression, the angle we are going to use 60 degrees.

We can set up the following equation:

cos(60) = x / 100
0.5 = x / 100
50 = x

6 0

3 years ago